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An object with a mass of #6 kg# is hanging from an axle with a radius of #9 m#. If the wheel attached to the axle has a radius of #6 m#, how much force must be applied to the wheel to keep the object from falling?

Answer 1

Olivia Askew

The force is #=88.2N#

The load is #L=6gN#

The radius of the axle is #r=9m#

The radius of the wheel is #R=6m#

The effort is #=FN#

Taking moments about the center of the axle

#F*6=6g*9#

#F=6g*9/6=88.2N#

The force is #F=88.2N#

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Answer 2

Adam Arnold

The force required to keep the object from falling is 54 N.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.